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Asymptotic Stability of Differential Equations with Infinite Delay [PDF]
A theorem on asymptotic stability is obtained for a differential equation with an infinite delay in a function space which is suitable for the numerical computation of the solution to the infinite delay equation.
D. Piriadarshani, T. Sengadir
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C^k invariant manifolds for infinite delay
For a non-autonomous delay difference equation with infinite delay, we construct smooth stable and unstable invariant manifolds for any sufficiently small perturbation of an exponential dichotomy.
Luis Barreira, Claudia Valls
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Stability of impulsive infinite delay differential equations
Using new Lyapunov functions technique developed by Shunian Zhang the authors study the stability for impulsive differential equations with infinite delays. Some known results are improved.
Yu Zhang, Jitao Sun
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Stability of Distributed Delay System with Infinite Support [PDF]
This paper is devoted to the stability analysis of infinite distributed delay systems. The basic idea is to model the original time-delay system into an interconnected feedback system in order to use robust analysis and especially quadratic separation. This approach has been widely used to study classical pointwise time-delay system.
Ariba, Yassine +3 more
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Center manifolds for infinite delay
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Barreira, Luis, Valls, Claudia
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Stochastic Lotka–Volterra system with infinite delay
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Yong Xu, Fuke Wu, Yimin Tan
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Boundedness in infinite delay systems
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Burton, T.A., Hering, R.H.
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Viability for Semilinear Differential Equations with Infinite Delay [PDF]
Let X be a Banach space, A : D ( A ) ⊂ X → X the generator of a compact C 0 -semigroup S ( t ) : X → X , t ≥ 0 , D ( · ) : ( a , b ) → 2 X a tube in X, and f : ( a , b ) × B → X a function of Carathéodory type.
Qixiang Dong, Gang Li
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Asymptotic Behavior of Impulsive Infinite Delay Difference Equations with Continuous Variables
A class of impulsive infinite delay difference equations with continuous variables is considered. By establishing an infinite delay difference inequality with impulsive initial conditions and using the properties of “ϱ-cone,” we ...
Zhixia Ma, Liguang Xu
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On the dynamics of equations with infinite delay
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Pražák Dalibor
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